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Finding the Third Proportional to 735,291 and 1,544,778

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Solution

The third proportional to 735,291 and 1,544,778 is: 3,245,434.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    735,291 : 1,544,778 = 1,544,778 : x
  2. Step 2: Convert to fraction form
    735,291/1,544,778 = 1,544,778/x
  3. Step 3: Cross multiply
    735,291x = 1,544,778 × 1,544,778
  4. Step 4: Simplify right side
    735,291x = 2,386,339,069,284
  5. Step 5: Solve for x
    x = 2,386,339,069,284/735,291
  6. Step 6: Final answer
    x = 3,245,434.89

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.